Home / 1,194.29-1,649.38-822.23

Finding the Fourth Proportional to 1,194.29, 1,649.38 and 822.23

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Solution

The fourth proportional to 1,194.29, 1,649.38 and 822.23 is: 1,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.29 : 1,649.38 = 822.23 : x
  2. Step 2: Convert to fraction form
    1,194.29/1,649.38 = 822.23/x
  3. Step 3: Cross multiply
    1,194.29x = 1,649.38 × 822.23
  4. Step 4: Simplify right side
    1,194.29x = 1,356,169.72
  5. Step 5: Solve for x
    x = 1,356,169.72/1,194.29
  6. Step 6: Final answer
    x = 1,135.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.